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Finding the Fourth Proportional to 447.83, 667.92 and 440.04

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Solution

The fourth proportional to 447.83, 667.92 and 440.04 is: 656.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.83 : 667.92 = 440.04 : x
  2. Step 2: Convert to fraction form
    447.83/667.92 = 440.04/x
  3. Step 3: Cross multiply
    447.83x = 667.92 × 440.04
  4. Step 4: Simplify right side
    447.83x = 293,911.91
  5. Step 5: Solve for x
    x = 293,911.91/447.83
  6. Step 6: Final answer
    x = 656.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.